Atkin-Lehner |
2+ 3- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
80688f |
Isogeny class |
Conductor |
80688 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
322560 |
Modular degree for the optimal curve |
Δ |
-1346141541065472 = -1 · 28 · 33 · 417 |
Discriminant |
Eigenvalues |
2+ 3- 0 -2 -3 6 7 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,11207,-1701421] |
[a1,a2,a3,a4,a6] |
j |
128000/1107 |
j-invariant |
L |
2.8632729356763 |
L(r)(E,1)/r! |
Ω |
0.23860608011933 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40344c1 1968a1 |
Quadratic twists by: -4 41 |